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Volumn 16, Issue 5, 2003, Pages 803-808

Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations

Author keywords

Degenerate parabolic equation; Global existence nonexistence; Nonlocal source

Indexed keywords


EID: 84867925730     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)80118-0     Document Type: Article
Times cited : (29)

References (15)
  • 1
    • 0002444698 scopus 로고
    • Local vs. non-local interactions in population dynamics
    • J. Furter, and M. Grinfeld Local vs. non-local interactions in population dynamics J. Math. Biology 27 1989 65 80
    • (1989) J. Math. Biology , vol.27 , pp. 65-80
    • Furter, J.1    Grinfeld, M.2
  • 2
    • 0000720333 scopus 로고
    • The blowup property of solutions to some diffusion equations with localized nonlinear reactions
    • J.M. Chadam, A. Peirce, and H.M. Yin The blowup property of solutions to some diffusion equations with localized nonlinear reactions J. Math. Anal. Appl. 169 1992 313 328
    • (1992) J. Math. Anal. Appl. , vol.169 , pp. 313-328
    • Chadam, J.M.1    Peirce, A.2    Yin, H.M.3
  • 3
    • 0001147425 scopus 로고
    • The influence of nonlocal nonlinearities on the long time behavior of solutions of Burger's equation
    • K. Deng, M.K. Kwong, and H.A. Levine The influence of nonlocal nonlinearities on the long time behavior of solutions of Burger's equation Quart. of Appl. Math. 50 1992 173 200
    • (1992) Quart. of Appl. Math. , vol.50 , pp. 173-200
    • Deng, K.1    Kwong, M.K.2    Levine, H.A.3
  • 4
    • 0000098745 scopus 로고
    • Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
    • C.V. Pao Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory J. Math. Anal. Appl. 166 1992 591 600
    • (1992) J. Math. Anal. Appl. , vol.166 , pp. 591-600
    • Pao, C.V.1
  • 5
    • 0031234250 scopus 로고    scopus 로고
    • Global existence for degenerate parabolic equations with a non-local forcing
    • J.R. Anderson, and K. Deng Global existence for degenerate parabolic equations with a non-local forcing Math. Meth. Appl. Sci. 20 1997 1069 1087
    • (1997) Math. Meth. Appl. Sci. , vol.20 , pp. 1069-1087
    • Anderson, J.R.1    Deng, K.2
  • 6
    • 0032358512 scopus 로고    scopus 로고
    • A general approach to critical Fujita exponents in nonlinear parabolic problems
    • V.A. Galaktionov, and H.A. Levine A general approach to critical Fujita exponents in nonlinear parabolic problems Nonlinear Anal. TMA 34 1998 1005 1027
    • (1998) Nonlinear Anal. TMA , vol.34 , pp. 1005-1027
    • Galaktionov, V.A.1    Levine, H.A.2
  • 7
    • 0032360488 scopus 로고    scopus 로고
    • Blow-up in nonlocal reaction-diffusion equations
    • Ph. Souplet Blow-up in nonlocal reaction-diffusion equations SIAM J. Math. Anal. 29 1998 1301 1334
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1301-1334
    • Souplet, Ph.1
  • 8
    • 0030245114 scopus 로고    scopus 로고
    • Properties of positive solutions for non-local reaction-diffusion problems
    • M.X. Wang, and Y.M. Wang Properties of positive solutions for non-local reaction-diffusion problems Math. Meth. Appl. Sci. 19 1996 1141 1156
    • (1996) Math. Meth. Appl. Sci. , vol.19 , pp. 1141-1156
    • Wang, M.X.1    Wang, Y.M.2
  • 9
    • 34250131744 scopus 로고
    • Blow-up of solutions of nonlinear degenerate parabolic equations
    • A. Riedman, and B. McLeod Blow-up of solutions of nonlinear degenerate parabolic equations Arch. Rational Mech. Anal. 96 1987 55 80
    • (1987) Arch. Rational Mech. Anal. , vol.96 , pp. 55-80
    • Riedman, A.1    McLeod, B.2
  • 10
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • H.A. Levine The role of critical exponents in blowup theorems SIAM Review 32 1990 262 288
    • (1990) SIAM Review , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 12
    • 0001724380 scopus 로고
    • Analysis of blowup for a nonlinear degenerate parabolic equation
    • H.W. Chen Analysis of blowup for a nonlinear degenerate parabolic equation J. Math. Anal. Appl. 192 1995 180 193
    • (1995) J. Math. Anal. Appl. , vol.192 , pp. 180-193
    • Chen, H.W.1
  • 13
    • 0000279967 scopus 로고
    • Blow-up for solutions of some degenerate parabolic equations
    • M. Wiegner Blow-up for solutions of some degenerate parabolic equations Diff. and Int. Equations 7 1994 1641 1647
    • (1994) Diff. and Int. Equations , vol.7 , pp. 1641-1647
    • Wiegner, M.1
  • 14
    • 0034340171 scopus 로고    scopus 로고
    • A nonlinear degenerate diffusion equation not in divergence form
    • S. Wang, M.X. Wang, and C.H. Xie A nonlinear degenerate diffusion equation not in divergence form Z. Angew. Math. Phys. 51 2000 149 159
    • (2000) Z. Angew. Math. Phys. , vol.51 , pp. 149-159
    • Wang, S.1    Wang, M.X.2    Xie, C.H.3
  • 15
    • 0035894757 scopus 로고    scopus 로고
    • The blow-up rate for a degenerate parabolic equation with a non-local source
    • W.B. Deng, Z.W. Duan, and C.H. Xie The blow-up rate for a degenerate parabolic equation with a non-local source J. Math. Anal. Appl. 264 2 2001 577 597
    • (2001) J. Math. Anal. Appl. , vol.264 , Issue.2 , pp. 577-597
    • Deng, W.B.1    Duan, Z.W.2    Xie, C.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.